The cumulative frequency diagram shows the times taken by the members of two different clubs, The Braineys and The Cleverites, to complete an intelligence test.
Cumulative
a) Find the median and the
frequency
interquartile range for The Cleverites
80
60
b) State which club, on average, was
slowest at completing the test.
Give a reason for your answer.
40
The Cleverites
The Braineys
20
10
20
50
30 40
Time, in minutes

a) median=25 interquartile range=19

b) The Braineys as the median is 32 compared to 25.

Step-by-step explanation:

answear:

a

step-by-step explanation: a

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584